134610634272 has 48 divisors (see below), whose sum is σ = 353375053920. Its totient is φ = 44867400192.

The previous prime is 134610634267. The next prime is 134610634273. The reversal of 134610634272 is 272436016431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×134610634272² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134610634272.

It is not an unprimeable number, because it can be changed into a prime (134610634273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1979004 + ... + 2045892.

It is an arithmetic number, because the mean of its divisors is an integer number (7361980290).

Almost surely, 2^134610634272 is an apocalyptic number.

134610634272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134610634272 is an abundant number, since it is smaller than the sum of its proper divisors (218764419648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134610634272 is a wasteful number, since it uses less digits than its factorization.

134610634272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87865 (or 87857 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 134610634272 in words is "one hundred thirty-four billion, six hundred ten million, six hundred thirty-four thousand, two hundred seventy-two".